Results 31 to 40 of about 1,211,830 (116)
Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
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Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$,
Aboubacar Marcos
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On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, Volume 7, Issue 10, Page 509-516, 2002., 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Zhitao Zhang +3 more
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Selector for the Spectrum Award 2018
, 2018 Billingham was invited to be part of the selection panel for the first Spectrum Award in 2018 alongside Mark Wallinger, Charming Baker, Professor Simon Baron-Cohen, Sacha Craddock and Mary Simpson.
Billingham, Richard, Spectrum
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Advanced Science, Volume 11, Issue 22, June 12, 2024.A design–build–test–learn (DBTL) framework for rational enzyme design is proposed to modify the substrate preference of the phosphatase BT4131. The best mutant, exhibiting significantly enhanced preference for N‐acetylglucosamine‐6‐phosphate (GlcNAc6P), is combined with a GlcNAc6P biosensor and applied to microbial cell factories, resulting in a ...
Jiangong Lu +9 more
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Sign‐Changing Solutions to Equations of Elliptic Type
, 2010 International Journal of Differential Equations, Volume 2010, Issue 1, 2010.
Wenming Zou +4 more
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The regions of solvability for some three point problem
Mathematical Modelling and Analysis, 2013 The solvability results are established for the boundary value problem , where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity. The existence results are based of the knowledge of the spectrum for the problem with h ≡ 0.
Natalija Sergejeva
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The Fučík spectrum of the discrete Dirichlet operator
, 2021 Disertační práce je zaměřena na studium Fučíkova spektra pro diskrétní operátory. Vzhledem k tomu, že obecné vyšetření Fučíkova spektra diskrétních operátorů je v dnešní době stále těžce uchopitelnou výzvou, studium v této práci je zaměřené na konkrétní ...
Sobotková, Iveta
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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Nonlinear Analysis, 2014 Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed.
Natalija Sergejeva
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A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +2 more
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